Select the correct answer.
This system of equations relates the ticket price, in dollars, for seats in the silver (x) and gold (y) sections at a rock concert.
x + 2y = 82
3x + y = 96
By how much does the price of a ticket for the gold section exceed the price for a ticket for the silver section?
A.
$6
B.
$8
C.
$10
D.
$12
E.
$14
Answer:
$12
Step-by-step explanation:
x+2y=82........(1)
3x+y=96.........(2)
y=96-3x...........(3)
x+2y=82
x+2(96-3x)=82
x+192-6x=82
-5x=82-192
-5x=-110
x=-110÷-5
x=22
y=96-3x
y=96-3(22)
y=96-66
y=30
Therefore,x=22 and Y=30
so silver= x =22
gold= y = 30
y=30;x=22
=30-22
-12
Therefore $12
11,9,36,28,7,41 what is the mean absolute deviation
Answer:
The mean absolute deviation of this sample is 13.
Step-by-step explanation:
Mean absolute deviation is the sum of the absolute value of the differences between data values and the mean, divided by the sample size.
Put these numbers in order from least to greatest 1/8, -0.333, -1/7
Answer:
-0.333, -1/7, 1/8
Step-by-step explanation:
1/8 is the greatest because it is a positive number while the other two numbers are negative.
-0.333 or -1/3 is smaller than -1/7.
HELP!!
3. Explain why all circles are similar. Use transformations in your explanation. You may also refer to the below image
All circles are similar because radius is constant throughout the circle.
What is similarity of circles?Every point on a circle's perimeter is equidistant from its center. We utilize the radii to get the scale factor since the size of each circle is specified by its radius.
A quality of at least two forms in relation to each other is similarity. When two forms are similar, their qualities in relation to one another remain the same.
A circle is characterized by two properties: its center and radius.Because similarity is unaffected by location the similarity of circles is solely determined by their radii.
Hence,all circles are similar because radius is constant throughout the circle.
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The pyramid below has a square base.
24.4 cm
17.2 cm
Vol = x area of base. x perpendicular height
Work out the volume of the pyramid.
The volume of the pyramid would be 2406.16 cubic cm.
How to find the volume of a square-based right pyramid?Supposing that:
The length of the sides of the square base of the pyramid has = b units
The height of the considered square-based pyramid = h units,
The pyramid below has a square base.
h = 24.4 cm
b = 17.2 cm
Then, its volume is given by:
[tex]V = \dfrac{1}{3} \times b^2 \times h \: \rm unit^3[/tex]
[tex]V = \dfrac{1}{3} \times 17.2^2 \times 24.4 \: \rm unit^3\\\\V = 2406.16[/tex]
Therefore, the volume of the pyramid would be 2406.16 cubic cm.
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k5500 is invested for a period of 4 years in a savings account. for the first year , the investment grows at a simple interest rate of 11% per annum and then at a rate of 12.5% per annum compound and quarterly for the rest of the period. Determine the value of the investment at the end of the 4 years
manyy is really short time samma basyo is really an amazing
Determine whether 5, 238 is divisible by 2, 3, 4, 5, 6, 9, or 10.
Answer:
2, 3, 6
Step-by-step explanation:
Simply try each value using long division.
2:
Since 5,238 ends in an even number, that automatically means it is divisible by 2.
5238/2=2619
Now for 3:
5238/3=1746 no remainder or decimal, so 3 also works
4:
You can either do long division again with 4, or you can see if 5238 divided by 2 (5238/2) is also divisible by 2. Since 2619 doesn't end in an even number, 4 is a no go.
Long division 5238/4=1309.5 decimal here, so 4 isn't an answer
5:
This is also very easy, simply check if the number ends in 0 or 5. Since 5,238 does not, 5 doesn't work either.
6:
You can do the same thing as with 4, except this time trying to find if 5238 divided by 3 (5238/3) is divisible by 2. Since 1746 ends in an even number, 6 also works.
Long division: 5238/6=873
9:
You can do the same thing as with 6, except this time trying to find if 5238 divided by 3 (5238/3) is divisible by 3.
1746/3=548 with a remainder of 2, which means 9 doesn't work
Long division: 5238/9=548.66 repeating
10:
Finally, 10 is another easy one. Simply check if the number ends in 0. 5,238 does not, so 10 doesn't work.
In the braces below, list all subsets of the set {6, 7, 8).
Determine if the triangle with the given sides is acute, obtuse, or right.
7, 12, 16
The following scatter plot shows the data for NCAA quarterbacks comparing their attempted passes to completed passes.
Hint: A line of best fit follows the pattern of the data and is in the middle of the points.
Answer:
whats the question
Step-by-step explanation:
Determine the composition of
transformations that would map figure ABCD to figure A'B'C'D"
1. The transformation that would map vertex B to B' is
5 less than n is equal to 38
(A+1)/a = y make a the subject of this equation
Which expression is equivalent to (1/^y)-1/5
Answer:
5-y/5y
Sorry Im not to sure but maybe this will help?
Step-by-step explanation:
HELP URGENT WILL GIVE
BRAINLIEST!!!
Elsa is putting money into a
savings account. She starts
with $550 in the savings
account, and each week she
adds $70.
Let S represent the total
amount of money in the
savings account (in dollars),
and let W represent the
number of weeks Elsa has
been adding money. Write
an equation relating S to W
Then use this equation to
find the total amount of
money in the savings
account after 11 weeks.
Equation:__
Total amount of money after
11 weeks:
$__
Answer:
S x W + 550 = answer
Step-by-step explanation:
eh u dont need to know, yw
Answer:
Step-by-step explanation:
S= total amount in savings acc.
W= # of weeks
You have 550 in your acc and your adding 70 every week?
S= 550+70w
Then for 11 weeks: Equation- S=550+70*11
70*11=770
S= 550+770 - S= 1320
Total after 11 weeks is 1320
5.259 to the thenths place
Answer:
5.3 is 5.259 rounded into the tenths place.
The functions f(x) and g(x) are shown on the graph.
Using f(x), what is the equation that represents g(x)?
g(x) = log3(x) – 4
g(x) = log3(x) + 4
g(x) = log3(x – 4)
g(x) = log3(x + 4)
We can see that g(x) is a translation of 4 units to the left of f(x), then:
g(x) = log₃(x + 4).
How to get the equation that represents g(x)?
Here we can see that g(x) is a shift of f(x). Is clear that the asymptote of g(x) is 4 units to the left of the asymptote of f(x), so we can say that g(x) is a shift of 4 units to the left of f(x).
Remember that for a given function f(x), an horizontal shift of N units is given by:
g(x) = f(x + N).
If N is positive, the shift is to the left.If N is positive, the shift is to the right.Then a shift of 4 units to the left is written as:
g(x) = log₃(x + 4).
Then the correct option is the last one.
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In a parallelogram PQRS, if angle P = (2x+25) degrees and angle Q = (3x-5) degrees, then write the measures of angle S and angle R.
Consecutive angles of a parallelogram are supplementary, so:
[tex]2x+25+3x-5=180\\5x+20=180\\5x=160\\x=32[/tex]
This means [tex]m\angle P=2(32)+25=89^{\circ}[/tex] and that [tex]m\angle Q=3(32)-5=91^{\circ}[/tex].
Since opposite angles of a parallelogram are congruent,
[tex]\boxed{m\angle S=91^{\circ}, m \angle R=89^{\circ}}[/tex]
Can u help me pls i will be putting some more problems
look the image
Step-by-step explanation:
So here...two triangle is measured in 78° and 30° ..here to find the value of third angle...
we need to subtract 180° from the sum of 78° and 30° ...cause the sum of all angle of triangle is 180° ..
x + 78° + 30° = 180°
x + 108° = 180°
x = 180° - 108°
x = 72°
hence the value of third angle is 72°....
help me solve this please help I will gave u brilliant answer
Answer: 1.) 3 2/3 2.) 2 9/10 3.) 9 11/15 4.) 7 11/12
B. Question 2,
My answer is reasonable, because if we round 1 7/10 to 2 and 1 1/5 to 1
2+1=3 and my answer is 2 9/10. This estimate makes sense because 2 9/10 can be rouned to 3, meaning it is reasonable.
Step-by-step explanation:
1 1/6 + 2 3/6= 3 4/6
Simplifyed=3 2/3
1 7/10 + 1 2/10 = 2 9/10
7 5/15 + 2 6/15= 9 11/15
4 8/12 + 3 3/12= 7 11/12
The perimeter of a rectangle is 78 cm. If the length is 24 cm, how wide is the rectangle?
Write an equation you can use to answer this question. Use w as your variable in the equation.
Answer:
15(cm)
Step-by-step explanation:
48 + 2w = 78
2w = 30
w = 15(cm).
EASY POINTS
What is the slope-intercept equation of this line?
Answer:
B
Step-by-step explanation:
The y-intercept is 8
The slope is -2x
Therefore the slope-intercept is y = -2x + 8
Can anyone answer this?
From the diagram below, if
The possible values of x in the diagram are x = 25 and x = -1
How to determine the value of x?The given parameters are:
∠DAB = x² - 24x∠DAC = 25Both angles are congruent and adjacent angles.
So, we have:
∠DAB = ∠DAC
Substitute known values
x² - 24x = 25
Subtract 25 from both sides
x² - 24x - 25 = 0
Expand
x² + x - 25x - 25 = 0
Factorize
x(x + 1) - 25(x + 1) = 0
Factor out x + 1
(x - 25)(x + 1) = 0
Expand
x - 25 = 0 or x + 1 = 0
Solve for x
x = 25 or x = -1
Hence, the possible values of x are x = 25 and x = -1
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Write the equation for a line with a y-intercept of 3 and an x-intercept of 5.
Answer:
it's 15
Step-by-step explanation:
just do ( 5× 2) = (10+5)=15
Which of the following is the solution to | x1-5 ≤ -13?
OA. All values are solutions
OB. x≤-8.and x 28
OC. x≤ -8
OD. No solution
Answer:
C
Step-by-step explanation:
[tex]\textsf {Given :}[/tex]
[tex]\mathsf {x - 5 \leq -13}[/tex]
[tex]\textsf {Add 5 to each side of the inequality : }[/tex]
[tex]\mathsf {x - 5 + 5 \leq -13 + 5}[/tex]
[tex]\mathsf {x \leq -8}[/tex]
E
6m
10m
8m
F
1.1
Calculate the length of the following
a)
DG
b)
EF
1.2 Determine the value of x
1.3
Given 17sinA-15-0 and 0° SA≤90°
Determine the values of the following with the aid of a diagram
a)
tan A
b)
1-cosA
c)
cos¹ A-cosecA
1.4 Simplify the following fraction WITHOUT USING A CALCULATOR
tan 45°.sin 30°-cot45°
sec 60⁰
මමමමම
(1)
(4)
(2)
(5)
(23)
The value of the tanA is 15/8, and the value of the 1 - cosA is 9/17 after calculating the base length which is 8 units.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
Here the diagram and some data are missing.
But using Pythagoras or trigonometric ratio we can find the length.
We have:
17sinA-15-0
sinA = 15/17
Using Pythagoras theorem:
Base length = √(17² - 15²) = 8 units
= tanA = 15/8
= 1 - cosA = 1 - 8/17 = 9/17
We can find the rest of the trigonometric ratio.
Thus, the value of the tanA is 15/8, and the value of the 1 - cosA is 9/17 after calculating the base length, which is 8 units.
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(write in algebraic expression) Ice cream shop is open within the month of june,july and august
The shop served 100 fewer customers than they did in july
They served twice as many customers in august as they did in june
In total they served 400 customers over these three months
The algebraic expression of the situation above is 4x - 100 = 400
How to form an algebraic expression?Let
the amount of ice cream they serve in July = x + 100
the amount of ice cream they serve in June = x
They served twice as many customers in august as they did in June.
Therefore,
the amount of ice cream they serve in August = 2(x)
the amount of ice cream they serve in August = 2x
Therefore,
2x + x + x + 100 = 400
4x - 100 = 400
4x = 500
x = 500 / 4
x = 125
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Are these numbers rational or irrational? -7 √10 (square root of 10) √16 (square root of 16) 52% 1.235 1. Rational 2. Irrational please answer quickly I need to get this test done
Answer:
-7, rational
sqrt 10, irrational
sqrt 16 = 4, rational
52% = 0.52, rational
1.235, rational
[tex]\text{A rational number is a real number that is in the form of}~ \dfrac pq,\\\\\text{where p and q are integers and}~ q \neq 0\\\\\text{The real numbers that cannot be expressed as the ratio of two integers}~ \\\text{ are called Irrational numbers.}\\\\-7 = \dfrac{-7}1 \\\\\text{So}~ -7 ~ \textbf{is rational.}\\\\\\\sqrt{10} ~ \text{is irrational because 10 is not a perfect square.}\\\\\text{So}~ \sqrt{10}~ \textbf{is irrational.}\\\\\\[/tex]
[tex]\sqrt{16} = \sqrt{4^2} = \left(4^2 \right)^{\tfrac 12} = 4 = \dfrac 41\\\\\text{So,}~ \sqrt{16}~ \textbf{is rational.}\\\\\\52\% = \dfrac{52}{100}\\\\\text{So,}~ 52\%~ \textbf{is rational.}\\\\\\1.235 =\dfrac{1235}{1000}\\\\\text{So,}~1.235~ \textbf{is rational.}[/tex]
Calculate the volume of each diagrams.
The volume of the solid objects are 612π in³ and 1566πcm³
Volume of solid objectThe given objects are composite figures consisting of two shapes.
The volume of the blue figure is expressed as;
Volume = Volume of cylinder + volume of hemisphere
Volume = πr²h + 2/3πr³
Volume = πr²(h + 2/3r)
Volume = π(6)²(13+2/3(6))
Volume = 36π(13 + 4)
Volume = 612π in³
For the other object
Volume = Volume of cylinder + volume of cone
Volume = πr²h + 1/3πr²h
Volume = π(9)²(15) + 1/3π(9)²(13)
Volume= 81π (15+13/3)
Volume= 1566πcm³
Hence the volume of the solid objects are 612π in³ and 1566πcm³
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